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Finding the Fourth Proportional to 397,162.96, 595,409.60 and 172,354.04

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Solution

The fourth proportional to 397,162.96, 595,409.60 and 172,354.04 is: 258,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,162.96 : 595,409.60 = 172,354.04 : x
  2. Step 2: Convert to fraction form
    397,162.96/595,409.60 = 172,354.04/x
  3. Step 3: Cross multiply
    397,162.96x = 595,409.60 × 172,354.04
  4. Step 4: Simplify right side
    397,162.96x = 102,621,250,014.78
  5. Step 5: Solve for x
    x = 102,621,250,014.78/397,162.96
  6. Step 6: Final answer
    x = 258,385.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.